Electric field at a place is overrightarrow {E,} = {E_0}hat{i},V/m . A particle of charge +q_0

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2. Electric Potential and Capacitance

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Electric field at a place is $\overrightarrow {E\,} = {E_0}\hat i\,V/m$ . A particle of charge $+q_0$ moves from point $A$ to $B$ along a circular path find work done in this motion by electric field

A

$\sqrt 2 {q_0}a{E_0}$

B

$\frac{{{q_0}a{E_0}}}{{\sqrt 2 }}$

C

${q_0}a{E_0}$

D

$2qa{E_0}$

Solution

$\mathrm{w}=\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{d}}$

$=\mathrm{q}_{0} \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{d}}$

$=q_{0}\left(\mathrm{E}_{0} \hat{\mathrm{i}}\right)(\mathrm{a} \hat{\mathrm{i}}-\mathrm{a \hat { j }})$

$=\mathrm{q}_{0} \mathrm{E}_{\mathrm{0}} \mathrm{a}$

Standard 12

Physics

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